What are the solutions to the equation factor 5r^2-44r+120=-30+11r ?

The solutions to the equation factor 5r^2-44r+120=-30+11r are r=5,r=6

Find the zeros of factor 5r^2-44r+120=-30+11r

The zeros of factor 5r^2-44r+120=-30+11r are r=5,r=6

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5 r^{2} - 44 r + 120 = - 30 + 11 r

r = 5, r = 6

Solution steps

5 r^{2} - 44 r + 120 = - 30 + 11 r

Move

11 r

to the left side

5 r^{2} - 55 r + 120 = - 30

Move

30

to the left side

5 r^{2} - 55 r + 150 = 0

Factor

5 r^{2} - 55 r + 150 : 5 (r - 5) (r - 6)

5 (r - 5) (r - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r - 5 = 0 or r - 6 = 0

Solve

r - 5 = 0 : r = 5

Solve

r - 6 = 0 : r = 6

The solutions to the quadratic equation are:

r = 5, r = 6

x^{2} - 10 x + 3

0 = x^{2} + 8 x - 20

- 8 x^{2} + 80 = 0

(x - 2)^{2} - 11 = 14

y, \frac{d ^{2} y}{d t ^{2}} = y^{2} - t

What are the solutions to the equation factor 5r^2-44r+120=-30+11r ?
The solutions to the equation factor 5r^2-44r+120=-30+11r are r=5,r=6
Find the zeros of factor 5r^2-44r+120=-30+11r
The zeros of factor 5r^2-44r+120=-30+11r are r=5,r=6